Phase Transition of the Horava-Lifshitz AdS black holes

TL;DR

This paper investigates the phase transition behavior of Horava-Lifshitz AdS black holes, revealing unique properties such as the dependence of transition points on horizon surface pressure and mapping the coexistence zones.

Contribution

It introduces the analysis of coexistence curves for HL AdS black holes using Maxwell's law and identifies the unique pressure dependence of phase transition points.

Findings

First-order phase transition points depend on horizon surface pressure F.

Coexistence zones are mapped using Maxwell's equal-area law.

Critical curves with multiple critical points are identified.

Abstract

Some ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell's equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole's horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.